Question

Use suitable identity to evaluate 99square

Answer 1

$\huge {\red {\bold {Ânswer}}}$

${(99)}^{2} \\ = > {(100 - 1)}^{2} \\ = > {(100)}^{2} + {(1)}^{2} - 2 \times 100 \times 1 \\ = > 10000 + 1 - 200 \\ = > 10000 - 199 \\ = > 9801$

Answer 2

99² = (100-1)²

      = 100² + 1² - 2×100×1

      = 10000 + 1 - 200

      = 9801

I used the identity (a-b)² = a² + b² - 2ab

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